Let f(x)= x²-9x-14 x-2x a. Analyze lim f(x), lim f(x), lim f(x), and lim f(x). x-0 x-2 Complete parts (a) through (c) below. lim f(x)- (Simplify your answer.) x++0 lim f(x) - (Simplify your answer.) 04-x lim f(x) - (Simplify your answer.) x+2 lim f(x)= (Simplify your answer.) X-2* b. Does the graph off have any vertical asymptotes? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. OA. The graph off has one vertical asymptote at (Type an equation.) OB. The graph off has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is. (Type equations.) OC. The graph off has no vertical asymptotes. c. First, graph f using a graphing utility. Choose the correct graph below. [-10,10] ×[-10,10] O A. ******* Q Q Q Q Next, graph f, noting any errors obtained with the graphing utility. Choose the correct graph below. OB. OB. Q Q Q [-10,10] x [-10,10] OC [-10,10] ×[-10,10] O C. Q Q Q O D. [-10,10] ×[-10,10] O D. Q Q
Let f(x)= x²-9x-14 x-2x a. Analyze lim f(x), lim f(x), lim f(x), and lim f(x). x-0 x-2 Complete parts (a) through (c) below. lim f(x)- (Simplify your answer.) x++0 lim f(x) - (Simplify your answer.) 04-x lim f(x) - (Simplify your answer.) x+2 lim f(x)= (Simplify your answer.) X-2* b. Does the graph off have any vertical asymptotes? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. OA. The graph off has one vertical asymptote at (Type an equation.) OB. The graph off has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is. (Type equations.) OC. The graph off has no vertical asymptotes. c. First, graph f using a graphing utility. Choose the correct graph below. [-10,10] ×[-10,10] O A. ******* Q Q Q Q Next, graph f, noting any errors obtained with the graphing utility. Choose the correct graph below. OB. OB. Q Q Q [-10,10] x [-10,10] OC [-10,10] ×[-10,10] O C. Q Q Q O D. [-10,10] ×[-10,10] O D. Q Q
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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